Great Ideas in Theoretical Computer Science Lecture Notes

Theory of Computation Tutorials

This note explains the theoretical computer science areas of formal languages and automata, computability and complexity. Topics covered include: regular and context-free languages, finite automata and pushdown automata, Turing machines, Church's thesis, computability - halting problem, solvable and unsolvable problems, space and time complexity, classes P, NP and PSPACE, NP-Completenes.

Author(s): The Australian National University, Canberra

NA Pages

Theory of Computation Lectures

This note covers the following topics: Sets, functions and other preliminaries, Formal Languages, Finite Automata , Regular Expressions, Turing Machines, Context-Free Languages, Rice's Theorem, Time complexity, NP-Completeness, Space Complexity , Log Space, Oracle machines and Turing Reducibility, Probabilistic Complexity, Approximation and Optimisation, Complexity Hierarchy Theorems.

Author(s): UNSW Sydne

NA Pages

Notes on Computation Theory

This course is an introduction to the Theory of Computation. Topics covered includes: Background Mathematics, Models of Computation, Context-Free Grammars, Automata, The Chomsky Hierarchy.

Author(s): Konrad Slind

231 Pages

Theory Of Computation Lecture Notes

This lecture note covers the following topics: Theory Of Computation, Introduction To Automata, Finite Automata, Regular Expressions And Languages, Properties Of Regular Language, Context-free Grammars And Languages, Applications Of Context-free Grammars, Pushdown Automata, Properties of Context-Free Languages.

Author(s): Prof. D. Chandrasekhar Rao, Prof. Kishore Kumar Sahu and Prof. Pradipta Kumar Das

120 Pages

Introduction to theory of computation by Tom Carter

This note explains the following topics: Symbols, strings and languages, Finite automata, Regular expressions and languages, Markov models, Context free languages, Language recognizers and generators, The Chomsky hierarchy, Turing machines, Computability and actability, Computational complexity.

Author(s): Tom Carter

76 Pages

The Theory of Languages and Computation

This note covers the following topics: Automata, Set Theory, The Natural numbers and Induction, Foundations of Language Theory, Operations on Languages, Deterministic Finite Automata, Formal Languages, Computability, Computations of Turing Machines, The Primitive Recursive Functions, The Partial Recursive Functions, DNA Computing, Analog Computing and Scientific Computing.

Author(s): Jean Gallier and Andrew Hicks

109 Pages

Theory of Computation by S. Arun Kumar

This book covers the following topics: The RAM Model, The Primitive Recursive Functions, The Partial Recursive Functions, Coding and Godelization, The Hierarchy of Primitive Recursive Functions, Universality and Parametrisation, The type-free lambda calculus.

Author(s): S. Arun Kumar

83 Pages

Theory of Computation

This note covers the following topics: A brief history of computing, Fundamentals, Formal languages and machine models, Computability and undecidability, NP-completeness, Generalized number systems and Cryptography mental poker.

Author(s): Dr. Gabriel Robins

NA Pages

Great Ideas in Theoretical Computer Science Lecture Notes

This course note provides a challenging introduction to some of the central ideas of theoretical computer science. It attempts to present a vision of computer science beyond computers: that is, CS as a set of mathematical tools for understanding complex systems such as universes and minds.

Author(s): Prof. Scott Aaronson

NA Pages

A Computational Introduction to Number Theory and Algebra (V. Shoup)

This book introduces the basic concepts from computational number theory and algebra, including all the necessary mathematical background. Covered topics are: Basic properties of the integers, Congruences, Computing with large integers, Euclid’s algorithm, The distribution of primes, Abelian groups, Rings, Finite and discrete probability distributions, Probabilistic algorithms, Probabilistic primality testing, Finding generators and discrete logarithms in Zp, Quadratic reciprocity and computing modular square roots, Modules and vector spaces, Matrices, Subexponential-time discrete logarithms and factoring, Polynomial arithmetic and applications.

Author(s): Victor Shoup

NA Pages